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Finding the Third Proportional to 215,420 and 357,781

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Solution

The third proportional to 215,420 and 357,781 is: 594,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,420 : 357,781 = 357,781 : x
  2. Step 2: Convert to fraction form
    215,420/357,781 = 357,781/x
  3. Step 3: Cross multiply
    215,420x = 357,781 × 357,781
  4. Step 4: Simplify right side
    215,420x = 128,007,243,961
  5. Step 5: Solve for x
    x = 128,007,243,961/215,420
  6. Step 6: Final answer
    x = 594,221.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.